Problem: Constraints

* H is an integer between 2 and 50 (inclusive).
* W is an integer between 2 and 50 (inclusive).
* s_{i, j} is `.` or `#` (1 \leq i \leq H, 1 \leq j \leq W).
* s_{1, 1} and s_{H, W} are `.`.

Input

Input is given from Standard Input in the following format:


H W
s_{1, 1}s_{1, 2}s_{1, 3} ... s_{1, W}
s_{2, 1}s_{2, 2}s_{2, 3} ... s_{2, W}
:   :
s_{H, 1}s_{H, 2}s_{H, 3} ... s_{H, W}


Output

Print the maximum possible score that Snuke can achieve, or print -1 if the game cannot be completed.

Examples

Input

3 3
..#
#..
...


Output

2


Input

3 3
..#
..
...


Output

2


Input

10 37
.....................................
...#...####...####..###...###...###..
..#.#..#...#.##....#...#.#...#.#...#.
..#.#..#...#.#.....#...#.#...#.#...#.
.#...#.#..##.#.....#...#.#.###.#.###.
.#####.####..#.....#...#..##....##...
.#...#.#...#.#.....#...#.#...#.#...#.
.#...#.#...#.##....#...#.#...#.#...#.
.#...#.####...####..###...###...###..
.....................................


Output

209

Solution (in JAVA):

Solution:
import java.util.*;

public class Main {
    static int modP = 1000000007;
    static long inf  = 1 << 61;
    static int[] x4 = {-1, 0, 0, 1};
    static int[] y4 = {0, -1, 1, 0};
    static int[] x8 = {-1, -1, 0, 1, 1, 1, 0, -1};
    static int[] y8 = {0, -1, -1, -1, 0, 1, 1, 1};

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int h = in.nextInt(), w = in.nextInt();
        char[][] s = new char[h][w];
        int[][] d = new int[h][w];
        for(int i = 0; i < h; i++) {
            s[i] = in.next().toCharArray();
            Arrays.fill(d[i], Integer.MAX_VALUE);
        }

        Queue<P> queue = new ArrayDeque<>();
        queue.add(new P(0, 0));
        d[0][0] = 0;
        while(!queue.isEmpty()) {
            P c = queue.remove();
            for(int i = 0; i < 4; i++) {
                int x = c.x + x4[i];
                int y = c.y + y4[i];
                if(x < 0 || w <= x || y < 0 || h <= y) continue;
                if(s[y][x] != '.' || d[y][x] != Integer.MAX_VALUE) continue;

                d[y][x] = d[c.y][c.x] + 1;
                queue.add(new P(x, y));
            }
        }

        if(d[h-1][w-1] == Integer.MAX_VALUE) {
            System.out.println(-1);
            return;
        }

        int ans = h*w - (d[h-1][w-1]+1);
        for(int i = 0; i < h; i++)
            for(int j = 0; j < w; j++) if(s[i][j] == '#') ans--;

        System.out.println(ans);
    }

    static public void printArray2D(char[][] map) {
        for(int i = 0; i < map.length; i++) {
            for(int j = 0; j < map[i].length; j++) {
                System.out.format("%c\t", map[i][j]);
            }
            System.out.print("\n");
        }
    }

    static public void printArray2D(int[][] map) {
        for(int i = 0; i < map.length; i++) {
            for(int j = 0; j < map[i].length; j++) {
                System.out.format("%d\t", map[i][j]);
            }
            System.out.print("\n");
        }
    }
}

class P {
    int x, y;
    P(int x, int y) {
        this.x = x;
        this.y = y;
    }
}